Square root of a function

Square root of a function

What will happen if we put a square root in a function? What will its graph look like? We will tackle these questions in this lesson and see it yourself!

Lessons

  • 1.
    Comparing: y=f(x)y = f\left( x \right) VS. y=f(x)y = \sqrt {f\left( x \right)}
    Given f(x)=x+3f\left( x \right) = x + 3,
    a)
    Use a table of values, graph the functions y=f(x)y = f\left( x \right) and y=f(x)y = \sqrt {f\left( x \right)} .

    b)
    State the domain and range of each function.

    xx

    y=f(x)=x+3y = f\left( x \right) = x + 3

    y=f(x)=x+3y = \sqrt {f\left( x \right)} = \sqrt {x + 3}

    -5

    -4

    -3

    -2

    1

    6



  • 2.
    Graphing y=f(x)y=\sqrt{f(x)} from the Graph of y=f(x)y=f(x)
    Given the graph of y=f(x)y = f\left( x \right) as shown:
    Square root of a function
    a)
    Sketch the graph of y=f(x)y = \sqrt {f\left( x \right)} .